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Finding the Fourth Proportional to 851.80, 1,278.06 and 522.76

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Solution

The fourth proportional to 851.80, 1,278.06 and 522.76 is: 784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.80 : 1,278.06 = 522.76 : x
  2. Step 2: Convert to fraction form
    851.80/1,278.06 = 522.76/x
  3. Step 3: Cross multiply
    851.80x = 1,278.06 × 522.76
  4. Step 4: Simplify right side
    851.80x = 668,118.65
  5. Step 5: Solve for x
    x = 668,118.65/851.80
  6. Step 6: Final answer
    x = 784.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.